Wrong. The beheadings are the things Mohammad did, as written in their holy books, so they just do that, following their role model even without the cameras.
It does have something to do with religion, but only because that is being used as _motivation_ to do bad things which isn't inherit to just Islam. I mean, Klu Klux Klan
> Klan members had an explicitly Christian terrorist ideology, basing their beliefs in > part on a "religious foundation" in Christianity. The goals of the KKK included, > from an early time onward, an intent to "reestablish Protestant Christian values in > America by any means possible", and they believed that "Jesus was the first Klansman."
What this is about is radical _people_ finding whatever motivation they can do to force _their own views_ onto the world.
What is your motivation in protecting islam? Why the finger pointing to Christianity and other religions? Sure, they also got problems, but do we currently really have a huge problem with those religions? What you are doing is like saying: "Well national socialism isn't that bad because other totalitarian ideologies also are stupid. Look at communism and how many dead people resultet because Stalin distorted the true teachings of marxism. See, national socialism isn't the problem."
Public beheadings, whether televised or not, are always propaganda, a show of force, a message to the common people. Public punishment is sometimes a barbaric form of entertainment, which is a form of propaganda as well. Historically this was the case in most countries, including those in Europe.
In the case of ISIS, I also think they are meant to shock Europe and the US into action. A war between Islam and the West is just what ISIS needs.
I find your explanation about Mohammed utterly unconvincing, because most Muslims don't go around beheading people, only some. ISIS and people from backwards, poverty-stricken countries/communities do, but that's a different issue.
Saudi Arabia is not poverty stricken, and they actually behead people for, for example, "adultery" or "homosexuality"(!) They invest 56 billion dollar per year for education, out of that billions for "exporting" their view of Islam, exactly the one with which I have problem.
That's actually true, and it's not just "branding," nobody can deny them that they are qouting the words in the primary holy books. And still some people believe in "peacefulness" of that "pure, original, undiluted Islam." It's the opposite: only by "diluting" (honestly reforming) it can the violence induced by it be avoided long-term. But it's easy to imagine how those that don't want the reform will behave: more "pure, undiluted" acts.
That said, there's a reasonable case to be made that this is ISIS "branding". What their leaders truly believe is unknowable, but we can see their masterful use of propaganda, with smiling jihadis next to happy-looking children, and of course also the brutal beheadings shot in high-definition using modern techniques. I doubt the Prophet approved of HD cams.
There's also a good case to be made, as in this article from The Atlantic, "The Phony Islam of ISIS" ( http://www.theatlantic.com/international/archive/2015/02/wha... ) that "literal" intepretations of the Quran and other Holy Texts are a red herring. You cannot claim there is a literal interpretation; just an interpretation that claims to be literal. But holy texts are rife with ambiguous and contradictory paragraphs, as explained in the article -- you can find an equivalent of "You Shall Not Kill" and in a different verse "Kill The Infidel", and you need some Wise Man to explain to you "ok, you shall not kill believers, but you can kill the unbeliever, unless there is a full moon (as mentioned in verse XYZ), in which case you can only kill goats". But this is the Wise Man's interpretation; by definition there is no single valid "literal" interpretation. And once you accept there is some degree of interpretation at play, you can no longer claim ISIS is evidence that Islam is fundamentally more blood-thirsty and terrorism-prone than other religions; just that some of the current high profile terrorist organizations are using their reading of the Quoran to justify their actions, and that they claim their interpretation is the "purest".
Even within ISIS and Al-Qaeda there is doctrinal dispute, as evidenced in this other article from The Atlantic, "What ISIS really wants" ( http://www.theatlantic.com/magazine/archive/2015/03/what-isi... ), which shows fundamentalist clerics disagree, and this creates splits. How can this be, if all of them believe they are following "pure, unadulterated Islam"?